98628062400 has 1512 divisors, whose sum is σ = 439137893376. Its totient is φ = 21685708800.

The previous prime is 98628062389. The next prime is 98628062417. The reversal of 98628062400 is 426082689.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 590587117 + ... + 590587283.

Almost surely, 2^98628062400 is an apocalyptic number.

98628062400 is a gapful number since it is divisible by the number (90) 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 98628062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219568946688).

98628062400 is an abundant number, since it is smaller than the sum of its proper divisors (340509830976).

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

98628062400 is a wasteful number, since it uses less digits than its factorization.

98628062400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 98628062400 in words is "ninety-eight billion, six hundred twenty-eight million, sixty-two thousand, four hundred".