28962662400 has 1152 divisors, whose sum is σ = 126254419200. Its totient is φ = 6370099200.

The previous prime is 28962662371. The next prime is 28962662401. The reversal of 28962662400 is 426626982.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (28962662401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 396748764 + ... + 396748836.

It is an arithmetic number, because the mean of its divisors is an integer number (109595850).

Almost surely, 2^28962662400 is an apocalyptic number.

28962662400 is a gapful number since it is divisible by the number (20) 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 28962662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63127209600).

28962662400 is an abundant number, since it is smaller than the sum of its proper divisors (97291756800).

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

28962662400 is a wasteful number, since it uses less digits than its factorization.

28962662400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 28962662400 in words is "twenty-eight billion, nine hundred sixty-two million, six hundred sixty-two thousand, four hundred".