28780157952000 has 5376 divisors, whose sum is σ = 140035035119616. Its totient is φ = 5733089280000.

The previous prime is 28780157951957. The next prime is 28780157952001. The reversal of 28780157952000 is 25975108782.

28780157952000 is a `hidden beast` number, since 28 + 7 + 80 + 15 + 7 + 9 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28780157952001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 701955071980 + ... + 701955072020.

It is an arithmetic number, because the mean of its divisors is an integer number (26048183616).

Almost surely, 2^{28780157952000} is an apocalyptic number.

28780157952000 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 28780157952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70017517559808).

28780157952000 is an abundant number, since it is smaller than the sum of its proper divisors (111254877167616).

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

28780157952000 is an equidigital number, since it uses as much as digits as its factorization.

28780157952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 28780157952000 in words is "twenty-eight trillion, seven hundred eighty billion, one hundred fifty-seven million, nine hundred fifty-two thousand".