28902614400 has 1152 divisors, whose sum is σ = 121542220800. Its totient is φ = 6718464000.

The previous prime is 28902614381. The next prime is 28902614401. The reversal of 28902614400 is 441620982.

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

It is a super-2 number, since 2×28902614400² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28902614401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 265161546 + ... + 265161654.

It is an arithmetic number, because the mean of its divisors is an integer number (105505400).

Almost surely, 2^28902614400 is an apocalyptic number.

28902614400 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 28902614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60771110400).

28902614400 is an abundant number, since it is smaller than the sum of its proper divisors (92639606400).

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

28902614400 is a wasteful number, since it uses less digits than its factorization.

28902614400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 28902614400 in words is "twenty-eight billion, nine hundred two million, six hundred fourteen thousand, four hundred".