1021724928 has 180 divisors, whose sum is σ = 3482321920. Its totient is φ = 291879936.

The previous prime is 1021724923. The next prime is 1021724983. The reversal of 1021724928 is 8294271201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1021724892 and 1021724901.

It is not an unprimeable number, because it can be changed into a prime (1021724923) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 141633 + ... + 148671.

Almost surely, 2^1021724928 is an apocalyptic number.

1021724928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021724928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741160960).

1021724928 is an abundant number, since it is smaller than the sum of its proper divisors (2460596992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1021724928 is an frugal number, since it uses more digits than its factorization.

1021724928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7074 (or 7051 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1021724928 is about 31964.4322333434. The cubic root of 1021724928 is about 1007.1898251911.

The spelling of 1021724928 in words is "one billion, twenty-one million, seven hundred twenty-four thousand, nine hundred twenty-eight".