25728991400 has 384 divisors, whose sum is σ = 75209472000. Its totient is φ = 7991639040.

The previous prime is 25728991369. The next prime is 25728991427. The reversal of 25728991400 is 419982752.

It is a super-2 number, since 2×25728991400² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55093967 + ... + 55094433.

It is an arithmetic number, because the mean of its divisors is an integer number (195858000).

Almost surely, 2^25728991400 is an apocalyptic number.

25728991400 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 25728991400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37604736000).

25728991400 is an abundant number, since it is smaller than the sum of its proper divisors (49480480600).

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

25728991400 is a wasteful number, since it uses less digits than its factorization.

25728991400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 47.

The spelling of 25728991400 in words is "twenty-five billion, seven hundred twenty-eight million, nine hundred ninety-one thousand, four hundred".