2925937728000 has 3360 divisors, whose sum is σ = 13708777724928. Its totient is φ = 609140736000.

The previous prime is 2925937727987. The next prime is 2925937728023. The reversal of 2925937728000 is 8277395292.

2925937728000 is a `hidden beast` number, since 29 + 2 + 593 + 7 + 7 + 28 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-2 number, since 2×2925937728000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 94385087985 + ... + 94385088015.

Almost surely, 2^{2925937728000} is an apocalyptic number.

2925937728000 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 2925937728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6854388862464).

2925937728000 is an abundant number, since it is smaller than the sum of its proper divisors (10782839996928).

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

2925937728000 is an frugal number, since it uses more digits than its factorization.

2925937728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 2925937728000 in words is "two trillion, nine hundred twenty-five billion, nine hundred thirty-seven million, seven hundred twenty-eight thousand".