10374956928 has 384 divisors, whose sum is σ = 37478488320. Its totient is φ = 2788909056.

The previous prime is 10374956927. The next prime is 10374956939. The reversal of 10374956928 is 82965947301.

10374956928 is a `hidden beast` number, since 1 + 0 + 3 + 74 + 9 + 569 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (10374956927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3699975 + ... + 3702777.

It is an arithmetic number, because the mean of its divisors is an integer number (97600230).

It is a 2-persistent number, because it is pandigital, and so is 2⋅10374956928 = 20749913856, but 3⋅10374956928 = 31124870784 is not.

Almost surely, 2^10374956928 is an apocalyptic number.

10374956928 is a gapful number since it is divisible by the number (18) 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 10374956928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18739244160).

10374956928 is an abundant number, since it is smaller than the sum of its proper divisors (27103531392).

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

10374956928 is an equidigital number, since it uses as much as digits as its factorization.

10374956928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2856 (or 2832 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 10374956928 in words is "ten billion, three hundred seventy-four million, nine hundred fifty-six thousand, nine hundred twenty-eight".